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Independent Component Separation from incomplete spherical data using wavelets. Application to CMB data analysis
Moudden Y., Abrial P., Vielva P., Melin J.-B., Starck J.-L. et al
PSIP'2005 : Physics in signal and Image processing, Toulouse : France (2005) - http://hal.in2p3.fr/in2p3-00122886
Physique/Astrophysique/Cosmologie et astrophysique extra-galactique
Planète et Univers/Astrophysique
Independent Component Separation from incomplete spherical data using wavelets. Application to CMB data analysis
Y. Moudden1, P. Abrial1, P. Vielva2, J.-B. Melin2, J.-L. Starck1, J.-F. Cardoso3, J. Delabrouille2, M.K. Nguyen4
1 :  DAPNIA - Département d'Astrophysique, de physique des Particules, de physique Nucléaire et de l'Instrumentation Associée
CEA : DSM/DAPNIA
France
2 :  PCC - Physique Corpusculaire et Cosmologie - Collège de France
CNRS : UMR7553 – IN2P3 – Université Paris VII - Paris Diderot
11, place Marcelin Berthelot - 75231 Paris Cedex 05
France
3 :  LTCI - Laboratoire Traitement et Communication de l'Information [Paris]
http://www.ltci.telecom-paristech.fr/
Télécom ParisTech – CNRS : UMR5141
CNRS LTCI Télécom ParisTech 46 rue Barrault F-75634 Paris Cedex 13
France
4 :  ETIS - Equipe traitement des images et du signal
http://www-etis.ensea.fr
ENSEA – CNRS : UMR8051 – Université de Cergy Pontoise
ETIS 6 Av du Ponceau 95014 CERGY PONTOISE CEDEX
France
Spectral matching ICA (SMICA) is a source separation method based on covariance matching in Fourier space that was designed to address in a flexible way some of the general problems raised by Cosmic Microwave Background data analysis. However, a common issue in astronomical data analysis is that the observations are unevenly sampled or incomplete maps with missing patches or intentionally masked parts. In addition, many astrophysical emissions are not well modeled as stationary processes over the sky. These effects impair data processing techniques in the spherical harmonics representation. This paper describes a new wavelet transform for spherical maps and proposes an extension of SMICA in this space-scale representation.

Communications sans actes
2005

PSIP'2005 : Physics in signal and Image processing
Toulouse
France
31/01/2005
02/02/2005

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